Inertial-diffusive scalar range (source code)

= Inertial-diffusive scalar range
{title2=$S_C(r)\simeq\epsilon_cr^2/(3\alpha)$}

For scalar diffusivity much larger than <kinematic viscosity>, scalar diffusion dominates at lengths between the Kolmogorov and scalar cutoff scales. The velocity may still have inertial-range variations, but the scalar is smooth to leading order. The leading isotropic <scalar structure function> is quadratic, with coefficient fixed by the mean-square gradient and the <scalar dissipation rate>, rather than by a continuing inertial-convective two-thirds law.